Geometric Methods In The Algebraic Theory Of Quadratic Forms
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Geometric Methods In The Algebraic Theory Of Quadratic Forms
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2004
Geometric Methods In The Algebraic Theory Of Quadratic Forms written by and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Forms, Pfister categories.
Geometric Methods In The Algebraic Theory Of Quadratic Forms
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Author : Oleg T Tignol Jean-Pierre Izhboldin
language : en
Publisher: Springer
Release Date : 2014-01-15
Geometric Methods In The Algebraic Theory Of Quadratic Forms written by Oleg T Tignol Jean-Pierre Izhboldin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Geometric Methods In The Algebraic Theory Of Quadratic Forms
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Author : Oleg Tomovich Izhboldin
language : en
Publisher:
Release Date : 2004
Geometric Methods In The Algebraic Theory Of Quadratic Forms written by Oleg Tomovich Izhboldin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Geometric Methods In The Algebraic Theory Of Quadratic Forms
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Author : Oleg T. Izhboldin
language : en
Publisher: Springer
Release Date : 2004-02-07
Geometric Methods In The Algebraic Theory Of Quadratic Forms written by Oleg T. Izhboldin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-07 with Mathematics categories.
The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes an introduction to motives of quadrics by A. Vishik, with various applications, notably to the splitting patterns of quadratic forms, papers by O. Izhboldin and N. Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields with u-invariant 9, and a contribution in French by B. Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties.
The Ricci Flow In Riemannian Geometry
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Author : Ben Andrews
language : en
Publisher: Springer Science & Business Media
Release Date : 2011
The Ricci Flow In Riemannian Geometry written by Ben Andrews and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.
The Algebraic And Geometric Theory Of Quadratic Forms
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Author : Richard S. Elman
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-07-15
The Algebraic And Geometric Theory Of Quadratic Forms written by Richard S. Elman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-15 with Mathematics categories.
This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents the necessary additional topics from algebraic geometry including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a modern geometric theory of quadratic forms.
Geometric Methods In The Algebraic Theory Of Quadratic Forms
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Author : Oleg T. Izhboldin
language : en
Publisher: Springer
Release Date : 2004-02-19
Geometric Methods In The Algebraic Theory Of Quadratic Forms written by Oleg T. Izhboldin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-19 with Mathematics categories.
The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes an introduction to motives of quadrics by A. Vishik, with various applications, notably to the splitting patterns of quadratic forms, papers by O. Izhboldin and N. Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields with u-invariant 9, and a contribution in French by B. Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties.
Quadratic Forms With Applications To Algebraic Geometry And Topology
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Author : Albrecht Pfister
language : en
Publisher: Cambridge University Press
Release Date : 1995-09-28
Quadratic Forms With Applications To Algebraic Geometry And Topology written by Albrecht Pfister and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-28 with Mathematics categories.
A gem of a book bringing together 30 years worth of results that are certain to interest anyone whose research touches on quadratic forms.
Algebraic Theory Of Quadratic Numbers
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Author : Mak Trifković
language : en
Publisher: Springer
Release Date : 2013-09-14
Algebraic Theory Of Quadratic Numbers written by Mak Trifković and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-14 with Mathematics categories.
By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes. The numerous exercises in the text offer the reader hands-on computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory.
Topology Of Singular Fibers Of Differentiable Maps
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Author : Osamu Saeki
language : en
Publisher: Springer
Release Date : 2004-08-30
Topology Of Singular Fibers Of Differentiable Maps written by Osamu Saeki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-30 with Mathematics categories.
The volume develops a thorough theory of singular fibers of generic differentiable maps. This is the first work that establishes the foundational framework of the global study of singular differentiable maps of negative codimension from the viewpoint of differential topology. The book contains not only a general theory, but also some explicit examples together with a number of very concrete applications. This is a very interesting subject in differential topology, since it shows a beautiful interplay between the usual theory of singularities of differentiable maps and the geometric topology of manifolds.